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2. On a certain sum the interest paid after 3 years is 450 at 5% rate of interest per
annum. Find the sum.
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Answer:
\begin{gathered}Required \: sum\\=Rs\:3000\end{gathered}
Requiredsum
=Rs3000
Step-by-step explanation:
\begin{gathered}Let\: Principal = Rs P,\\Given \:simple\: interest (I)=Rs\:450\\Time(T)=3\: years\\Rate\:of\: interest (R)=5\% \:p.a\end{gathered}
LetPrincipal=RsP,
Givensimpleinterest(I)=Rs450
Time(T)=3years
Rateofinterest(R)=5%p.a
\begin{gathered}We\:know \:that\\\boxed {P=\frac{100\times I}{TR}}\end{gathered}
Weknowthat
P=
TR
100×I
\begin{gathered}\implies P=\frac{100\times 450}{3\times 5}\\=Rs\:3000\end{gathered}
⟹P=
3×5
100×450
=Rs3000
Therefore,
\begin{gathered}Required \: sum\\=Principal\\=Rs\:3000\end{gathered}
Requiredsum
=Principal
=Rs3000
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